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Finding the Fourth Proportional to 17,282, 23,850.24 and 9,830

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Solution

The fourth proportional to 17,282, 23,850.24 and 9,830 is: 13,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282 : 23,850.24 = 9,830 : x
  2. Step 2: Convert to fraction form
    17,282/23,850.24 = 9,830/x
  3. Step 3: Cross multiply
    17,282x = 23,850.24 × 9,830
  4. Step 4: Simplify right side
    17,282x = 234,447,859.20
  5. Step 5: Solve for x
    x = 234,447,859.20/17,282
  6. Step 6: Final answer
    x = 13,566.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.